4028004 has 36 divisors (see below), whose sum is σ = 10434060. Its totient is φ = 1309440.

The previous prime is 4027993. The next prime is 4028009. The reversal of 4028004 is 4008204.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 1954404 = 1440^2 + 1398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4028009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 2840.

It is an arithmetic number, because the mean of its divisors is an integer number (289835).

Almost surely, 2^4028004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217030).

4028004 is an abundant number, since it is smaller than the sum of its proper divisors (6406056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4028004 is a wasteful number, since it uses less digits than its factorization.

4028004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4028004 is about 2006.9887892064. The cubic root of 4028004 is about 159.1096905372.

The spelling of 4028004 in words is "four million, twenty-eight thousand, four".